133284480 has 256 divisors, whose sum is σ = 498216960. Its totient is φ = 29675520.

The previous prime is 133284439. The next prime is 133284643. The reversal of 133284480 is 84482331.

133284480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631575 + ... + 631785.

It is an arithmetic number, because the mean of its divisors is an integer number (1946160).

Almost surely, 2^133284480 is an apocalyptic number.

133284480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249108480).

133284480 is an abundant number, since it is smaller than the sum of its proper divisors (364932480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133284480 is a wasteful number, since it uses less digits than its factorization.

133284480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 133284480 is about 11544.8897785990. The cubic root of 133284480 is about 510.8105526901.

The spelling of 133284480 in words is "one hundred thirty-three million, two hundred eighty-four thousand, four hundred eighty".